{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test particles\n",
    "In this tutorial, we run a simulation with many test particles. A simulation with test particles can be much faster, because it scales as $\\mathcal{O}(N)$ compared to a simulation with massive particles, which scales as $\\mathcal{O}(N^2)$. \n",
    "\n",
    "There are two types of test particles implemented in REBOUND. We first talk about *real* test particle, i.e. particles which have no mass and therefore do not perturb any other particle. In REBOUND, these are referred to as type 0. \n",
    "\n",
    "Let's first set up two massive particles in REBOUND, move to the center of mass frame, and choose WHFast as the integrator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rebound\n",
    "sim = rebound.Simulation()\n",
    "sim.add(m=1.)\n",
    "sim.add(m=1e-3, a=1, e=0.05)\n",
    "sim.move_to_com()\n",
    "sim.integrator = \"whfast\"\n",
    "sim.dt = 0.05"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---------------------------------\n",
      "REBOUND version:     \t3.15.0\n",
      "REBOUND built on:    \tFeb  8 2021 15:12:45\n",
      "Number of particles: \t2\n",
      "Selected integrator: \twhfast\n",
      "Simulation time:     \t0.0000000000000000e+00\n",
      "Current timestep:    \t0.050000\n",
      "---------------------------------\n",
      "<rebound.particle.Particle object at 0x7f20e8107240, m=1.0 x=-0.0009490509490509492 y=0.0 z=0.0 vx=0.0 vy=-0.0010507897025075195 vz=-0.0010507897025075195>\n",
      "<rebound.particle.Particle object at 0x7f20e81073c0, m=0.001 x=0.949050949050949 y=0.0 z=0.0 vx=0.0 vy=1.0507897025075192 vz=1.0507897025075192>\n",
      "---------------------------------\n"
     ]
    }
   ],
   "source": [
    "sim.status()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we'll add the test particles. We just set the mass to zero. Note that we give the `add()` function no `m` argument and it therefore sets the mass is zero. We randomize the true anomaly of the particles and place them outside the massive planet.\n",
    "\n",
    "The test-particles must be added after all massive planets have been added."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "N_testparticle = 1000\n",
    "a_initial = np.linspace(1.1, 3, N_testparticle)\n",
    "for a in a_initial:\n",
    "    sim.add(a=a,f=np.random.rand()*2.*np.pi) # mass is set to 0 by default, random true anomaly   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we set the `N_active` variable of REBOUND to the number of active particles in our simulation. Here, we have two active (massive) particles, the star and the planet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim.N_active = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, let's do the simulation. We will run it for 200 orbits of the planet which, in our units of $G=1$, is $t_{\\rm max} = 200\\cdot2\\pi$. While we run the simulation, we'll keep store the position of all test particles 10 times during the interval."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "rebound/simulation.py:716: RuntimeWarning: WHFast convergence issue. Timestep is larger than at least one orbital period.\n",
      "  warnings.warn(msg[1:], RuntimeWarning)\n"
     ]
    }
   ],
   "source": [
    "t_max = 200.*2.*np.pi\n",
    "N_out = 10\n",
    "xy = np.zeros((N_out, N_testparticle, 2))\n",
    "times = np.linspace(0, t_max, N_out)\n",
    "for i, time in enumerate(times):\n",
    "    sim.integrate(time)\n",
    "    for j, p in enumerate(sim.particles[2:]):\n",
    "        xy[i][j] = [p.x, p.y]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now plot the test particles' positions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f20a9d5baf0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure(figsize=(5,5))\n",
    "ax = plt.subplot(111)\n",
    "ax.set_xlim([-3,3])\n",
    "ax.set_ylim([-3,3])\n",
    "plt.scatter(xy[:,:,0],xy[:,:,1],marker=\".\",linewidth=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can see that some particles changed their orbits quite significantly, while others seem to stay roughly on circular orbits. To investigate this a bit further, we now calculate and plot the relative change of the test particles' semi-major axis over the duration of the simulation. We'll plot it as a function of the initial period ratio $r=P_{\\rm test particle}/P_{\\rm planet}$ for which we make use of Kepler's law, $P = 2\\pi\\sqrt{a^3/GM}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "orbits = sim.orbits()[1:]\n",
    "a_final = [o.a for o in orbits]\n",
    "fig = plt.figure(figsize=(15,5))\n",
    "ax = plt.subplot(111)\n",
    "ax.set_yscale('log')\n",
    "ax.set_xlabel(r\"period ratio $r$\")\n",
    "ax.set_ylabel(\"relative semi-major axis change\")\n",
    "plt.plot(np.power(a_initial,1.5),(np.fabs(a_final-a_initial)+1.0e-16)/a_initial,marker=\".\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Very close to the planet test particles change their semi-major axis by order unity. These particles have a close encounter with the planet and get scattered.\n",
    "\n",
    "We also see two peaks at $r=2$ and $r=3$. These correspond to mean motion resonances. We can also see the mean motion resonances by plotting the eccentricities of the particles. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "e_final = np.array([o.e for o in orbits])\n",
    "fig = plt.figure(figsize=(15,5))\n",
    "ax = plt.subplot(111)\n",
    "#ax.set_ylim([0,1])\n",
    "ax.set_yscale('log')\n",
    "ax.set_xlabel(r\"period ratio $r$\")\n",
    "\n",
    "ax.set_ylabel(\"final eccentricity\")\n",
    "plt.plot(np.power(a_initial,1.5),e_final+1.0e-16,marker=\".\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once again, we see peaks at $r=2$ and $r=3$, corresponding to the 2:1 and 3:1 mean motion resonance. You can even see a hint of an effect at $r=4$, the 4:1 mean motion resonance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above example, the planet did not change its semi-major axis as the test particles have zero mass and do not affect any other particles. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0000000000000027\n"
     ]
    }
   ],
   "source": [
    "print(sim.orbits()[0].a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us change this assumption by allow the test particles to have a small mass and influence the planet. Test particles do still not influence other test particles. This setup is referred to as type 1 in REBOUND."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim = rebound.Simulation()\n",
    "sim.add(m=1.)\n",
    "sim.add(m=1e-3, a=1, e=0.05)\n",
    "sim.move_to_com()\n",
    "sim.integrator = \"whfast\"\n",
    "sim.dt = 0.05\n",
    "N_testparticle = 1000\n",
    "a_initial = np.linspace(1.1, 3, N_testparticle)\n",
    "for a in a_initial:\n",
    "    sim.add(a=a,f=np.random.rand()*2.*np.pi, m=1e-7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As above, we set `N_active` to the number of massive bodies. We also set the `testparticle_type` to 1, which allows interactions between test particles and massive particles, but not between test particles themselves. This is similar to what MERCURY calls small bodies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim.N_active = 2\n",
    "sim.testparticle_type = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we integrate this simulation forwards in time and output the semi-major axis of the planet, we can see that it changed slightly from the initial $a=1$ due to interactions with the test particles. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9977589957255236\n"
     ]
    }
   ],
   "source": [
    "sim.integrate(t_max)\n",
    "print(sim.orbits()[0].a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.1+"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
